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Finding the Fourth Proportional to 10,510.86, 14,504.62 and 5,795.11

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Solution

The fourth proportional to 10,510.86, 14,504.62 and 5,795.11 is: 7,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.86 : 14,504.62 = 5,795.11 : x
  2. Step 2: Convert to fraction form
    10,510.86/14,504.62 = 5,795.11/x
  3. Step 3: Cross multiply
    10,510.86x = 14,504.62 × 5,795.11
  4. Step 4: Simplify right side
    10,510.86x = 84,055,766.91
  5. Step 5: Solve for x
    x = 84,055,766.91/10,510.86
  6. Step 6: Final answer
    x = 7,997.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.